{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Rain Attenuation\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When operating radar systems in regions with precipitation, it is necessary to account for the attenuation of the propagating wave due to the precipitation.  Following the recommendation from the International Telecommunication Union Radiocommunication Sector (ITU-R), the specific attenuation due to rain is given as (Equation 2.157)\n",
    "\n",
    "$$\n",
    "\\gamma = k R^{\\alpha} \\hspace{0.5in} \\text{(dB/km)}\n",
    "$$\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the start and end frequencies (GHz) and set up the frequency array using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "frequency_start = 1\n",
    "\n",
    "frequency_end = 1000\n",
    "\n",
    "frequency = linspace(frequency_start, frequency_end, 2000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the rain rate (mm/hr), evelation angle (degrees), and the polarization tilt angle (degrees)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "rain_rate = 5.0\n",
    "\n",
    "elevation_angle = 10.0\n",
    "\n",
    "polarization_tilt_angle = 45.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the keyword args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'frequency': frequency,\n",
    "\n",
    "          'rain_rate': rain_rate,\n",
    "\n",
    "          'elevation_angle': elevation_angle,\n",
    "\n",
    "          'polarization_tilt_angle': polarization_tilt_angle}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the rain attenuation (dB) using the `rain` routines from `wave_propagation`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.wave_propagation import rain\n",
    "\n",
    "gamma = rain.attenuation(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the rain attenuation using the `matplotlib` routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(frequency, gamma)\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Rain Attenuation', size=14)\n",
    "\n",
    "plt.xlabel('Frequency (GHz)', size=12)\n",
    "\n",
    "plt.ylabel('Specific Attenuation (dB/km)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
